Answer:
D(-6,-4)
Step-by-step explanation:
-5x + y = 26
2x - 7y = 16
-5x/-5 = 26-y/-5
x = -26/5 + y/5
2(-26/5 + y/5) = 7y = 16
-52/5 + 2y/5 = 16 + 52/5
-33y/5 = 80/5 + 52/5
-33y/5 = 132/5
-33y = 132
y = -4
2x - 7(-4) = 16
2x + 28 = 16
2x = -12
x = -6
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
(8π -8√3) cm²
Step-by-step explanation:
The area of a circle with radius 4 cm is given by ...
A = πr² = π(4 cm)² = 16π cm².
The red shaded portion is part of a semicircle. That semicircle will have an area half that of the circle, so ...
A/2 = 8π cm²
__
The triangle OCB is an equilateral triangle, so the angle at B is 60°. The side AC is then √3 times side BC*, so is 4√3 cm. The area of triangle ABC is then ...
A = (1/2)AC·BC = (1/2)(4√3 cm)(4 cm) = 8√3 cm²
This area is subtracted from that of the semicircle to obtain the red shaded area:
red area = semicircle area - triangle area
red area = (8π -8√3) cm²
____
* AC can be found either from the Pythagorean theorem (√(8²-4²)), using trig functions (4tan(60°)), or using your knowledge of 30°-60°-90° triangles.
In the piece-wise function graphed below, which is the correct equation for when − 2 ≤ x ≤ 2
y=-2x+2
y=-1/2x+2
y=-2x+4
y=-1/2x+4
Answer:
y=-1/2x+2
Step-by-step explanation:
y = mx + p
m=slope = -1/2
p= y-intercept = 2
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 2
Step-by-step explanation:
The segment for - 2 ≤ x ≤ 2 is a straight line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 1) ← the endpoints of the line
m = [tex]\frac{1-3}{2+2}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
Note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = - [tex]\frac{1}{2}[/tex] x + 2 ← equation for - 2 ≤ x ≤ 2
A line passes through the point (4,-7) and has a slope of 3/2. Write an equation in point-slope form for this line.
Answer:
Step-by-step explanation:
y - y1 = m(x - x1)
slope m = 3/2, y1 = -7, x1 = 4
y + 7 = 3/2(x - 4)
y + 7 = 3x/2 - 6
y = 3x/2 - 6 - 7
y = 3x/2 - 13
Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
----------------------------------------------------------
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{a}[/tex]
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a = [tex]\frac{18}{tan48}[/tex] ≈ 16.2 ( to the nearest tenth )
-----------------------------------------------------------
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{c}[/tex]
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c = [tex]\frac{18}{sin48}[/tex] ≈ 24.2 ( to the nearest tenth )
GEOMETRY-20 POINTS-ANSWER ASAP
i have zero clue what im doing (obviously by the wrong answer) can anyone explain how to do this?? |
|
Answer:
tan(F) = z/(2y)
Step-by-step explanation:
Make use of the similarity relationship to find the side necessary to compute the tangent. Then make use of the tangent definition.*
__
The two triangles are given as being similar. That means corresponding sides have the same ratios:
EF/AC = ED/AB
ED = AB·(EF/AC) = 4z(x/(8x)) = (4/8)z = z/2
The mnemonic SOH CAH TOA reminds you that the tangent relationship is ...
Tan = Opposite/Adjacent
tan(F) = ED/DF = (z/2)/y
tan(F) = z/(2y)
_____
* Actually, you need to do this in reverse order: first you need to determine if you have all the necessary information to answer the question. You don't.
You need to know the length of side ED in terms of z. You notice that the corresponding side in similar triangle ABC has its length marked as a function of z, so all you need to find ED is the scale factor between the two triangles.
Since both hypotenuses are marked in terms of x, the scale factor is easily found.
Write each decimal as a fraction in simplest form
0.8
Answer:
4/5
Step-by-step explanation:
.8 is the same as 8/10
8/10 simplifies to 4/5 as both the numerator and denominator can be divided by 2
Answer:
Step-by-step explanation:
0.8 = 8/10 = 4/5
What math property is this 19(24)=19(20)+19(4)
Answer:
Distributive Property
Step-by-step explanation:
19(24)=19(20)+19(4)
456 = 380 + 76
456 = 456
Hope this helps
-Amelia
Water tower. Model depth 32cm actual depth is ?m
The question involves converting the model depth from centimeters to meters, which typically requires dividing by 100. However, without a specific scale or additional detail, the direct conversion of 32cm would be 0.32 meters.
Explanation:The student's question is about converting the depth of a model water tower, provided in centimeters, to its actual depth in meters without giving a specific depth in the question. This concept usually involves understanding the scale of models and how to apply proportional reasoning to determine actual sizes. However, without a specific scale or the actual depth given in the question, we can't calculate the actual depth.
Generally, to convert from centimeters to meters directly, we divide the length in centimeters by 100, because 1 meter equals 100 centimeters. For example, if a model tower's depth is 32cm, to find this depth in meters, you would divide 32 by 100, which equals 0.32 meters.
3. Kurt's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.
The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.
Step-by-step explanation:
Given,
Distance covered by Kurt's car = 23 miles per gallon of gasoline
Kurt fills up tank of his car with g gallons.
Number of gallons in car's tank = g gallons
Distance covered by g gallons = D = Distance covered by one gallon * Number of gallons
D = 23*g
D = 23g
The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.
Keywords: distance, multiplication
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Choose Yes or No to tell if the fraction
3
5
will make each equation true.
7
20
+
□
=
19
20
□
+
3
10
=
3
15
1
2
+
2
3
=
□
1
10
+
1
2
=
□
can someone please answer this for me thank you
The fraction 3/5 makes only the fourth equation true when added with the existing fractions. The first three equations do not yield true results when 3/5 is added.
Explanation:In Mathematics, when dealing with fractions, we need to maintain the rules of basic arithmetic, meaning that equal sums must be identical on both sides of the equation. Let's check each of these equations with the fraction 3/5:
Equation 1: 7/20 + 3/5 = 14/20 + 12/20 = 26/20 ≠ 19/20. So, the answer is 'No'.
Equation 2: 3/5 + 3/10 = 12/20 + 6/20 = 18/20 ≠ 3/15. So the answer is 'No'.
Equation 3: 1/2 + 2/3 ≠ 3/5. So the answer is 'No'.
Equation 4: 1/10 + 1/2 = 2/20 + 10/20 = 12/20 = 3/5. So the answer is 'Yes'.
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What’s the value of m?
Answer: The answer is....I don't remember how to do this sort of problem...... sorry.....
Step-by-step explanation: So the three angles of a triangle equal to 180°.
First you have to find the angle that's missing besides "m"
Second add together the two angles you have.
Then You subtract the sum from 180.
Finally you have your answer.
What is the slope of the line shown below?
(5, 1)
(-3, -1).
Answer:
I believe it is 1/4
Sorry if I am wrong
the answer is 1/4
this is from apx :))
PLZ Help Picture included. Thanks+brainlyest is correct.
Answer: [tex]\angle GFH[/tex]
Step-by-step explanation:
A Transversal is defined as a line that intersect two or more lines.
For this exercise it is important to know that when a Transversal cut two parallel lines, several angles are formed. These are grouped in pairs.
One of those pairs are called "Alternate exterior angles".
Alternate exterior angles are those non-adjacent angles that are located outside the parallel lines and on opposite sides of the Transversal.
Alternate exterior angles are congruent, which means that they have equal measure.
In this case you know that the Transversal [tex]CH[/tex] cuts the parallel lines [tex]AD[/tex] and [tex]EG[/tex].
Therefore, based on the explanation given before, you can identify in the picture given in the exercise that the angles [tex]\angle ABC[/tex] and [tex]\angle GFH[/tex] are Alternate exterior angles.
SOLVE THE EQUATION
j-5=3.4
j=?
LOOKING FOR BRAINLIEST !!Ashton surveyed some of the employees at his company about their cell phone habits. From the data, he concluded that most employees at his company use cell phones primarily for business. For which sample could this generalization be valid?
A.
all managers in the company
B.
some managers and some sales executives selected at random
C.
every fifth employee on the employee list
D.
every other sales executive on the employee list
Writing and graphing linear equations
Answer:
whats the question?
Step-by-step explanation:
PLEASE HELP, WILL MARK BRAINLIEST
SELECT ALL THAT APPLY.
Which of the following could you use to solve this problem?
What is 25% of 37?
a. x/37 = 25/100
b. p = (0.25)37
c. 37/0.25 = w
d. 25/100 x 37
SELECT ALL THAT APPLY.
Answer:
A, B, D
Step-by-step explanation:
25% of 37
= 25/100 × 37
= 1/4 × 37
= 0.25 × 37
= 9.25
To find 25% of 37, you can use the equations: 'x/37 = 25/100', 'p = (0.25)37', and '25/100 x 37'. Option '37/0.25 = w' is not appropriate for finding 25% of 37.
Explanation:To find 25% of 37, you can use the following methods: a), b), and d).
These three options essentially represent how percentages can be calculated:
a) This represents 25% as a fraction (25/100) with 37 as the total (x/37). Solving for x gives you the answer. b) This signifies that 25% is converted to a decimal (0.25), and then multiplied by 37 to get the answer. d) It's similar to option a, but this time the fraction is multiplied by the total amount (25/100 * 37) directly making it a single step process.
Option c) is not suitable here because by dividing 37 by 0.25, you are finding out how many times 25% can fit into 37, not 25% of 37.
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13x + 8 = 5x
Whats the answer ?
Answer:
Answer:Let's solve your equation step-by-step.
Step 1:
13x+8−5x=5x−5x
8x+8=0
Step 2: Subtract 8 from both sides.
8x+8−8=0−8
8x=−8
Step 3: Divide both sides by 8.
8x
8
=
−8
8
x=−1
Answer:
x=−1
Answer:
the solution of given problem is x= -1
Step-by-step explanation:
step:-1
given equation is 13 x+8=5 x
subtracting 5 x on both sides we get
[tex]13 x +8-5 x = 5 x -5 x[/tex]
simplify [tex]8x +8 =0[/tex]
subtracting 8 on both sides , we get solution is
[tex]8 x = -8[/tex]
[tex]x=-1[/tex]
From a standard deck of 52 cards, what is the probability of picking a 6 at random from the deck?
A) 1/13
B) 1/26
C) 1/4
D) 1/52
Answer:
1/13
Step-by-step explanation:
since there are four 6 in a deck ( 1 for each suite )
probability of picking up a 6 is 4/52 = 1/13
A: 1/13
Divide 52 by 4 because there are 4 copies of each card in the deck (Not counting joker) You should get 13 and if you are drawing only ONE card, then you will have a 1/13 chance to draw a 6
What is 2(5)+3(4)+5^2? (The ^ means the exponent)
(-6x3-4x2-8)+(x3-x2-9x+4) add together and simply
Answer:
-5x³ -5x² -9x - 4
Step-by-step explanation:
(-6x³-4x²-8)+(x³-x²-9x+4)
Add the like terms.
-6x³ and x³ are like terms. -6x³ + x³ = -5x³
-4x² and -x² are like terms. -4x² - x² = -5x²
-8 and 4 are like terms. -8 + 4 = -4
-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4
Use substitution to solve the system of linear equations. In your final answer, include all of your work.
y = -3x + 4
y + 1/3y = 4/3
The solution is [tex](1,1)[/tex]
Step-by-step explanation:
The system of linear equation is
[tex]y=-3x+4[/tex] and [tex]y+\frac{1}{3} y=\frac{4}{3}[/tex]
Using substitution method, let us substitute [tex]y=-3x+4[/tex] in the equation
[tex]y+\frac{1}{3} y=\frac{4}{3}[/tex]
[tex]-3 x+4+\frac{1}{3}(-3 x+4)=\frac{4}{3}[/tex]
Multiplying the term [tex]-3x+4[/tex] by [tex]\frac{1}{3}[/tex], we get,
[tex]-3 x+4-x+\frac{4}{3}=\frac{4}{3}[/tex]
Subtracting both sides by [tex]\frac{4}{3}[/tex],
[tex]-3x+4-x=0[/tex]
Simplifying, we get,
[tex]\begin{aligned}-4 x+4 &=0 \\-4 x &=-4 \\x &=1\end{aligned}[/tex]
Now, substitute [tex]x=1[/tex] in [tex]y=-3x+4[/tex]
[tex]y=-3(1)+4\\y=-3+4\\y=1[/tex]
Thus, the solution is [tex](1,1)[/tex]
Answer:
y = -3x + 4
x + 1/3y = 4/3
Substitute the first expression into the second equation for y:
x + 1/3(-3x + 4) = 4/3
x - x + 4/3 = 4/3
4/3 = 4/3
Thus, all real numbers are solutions.
Step-by-step explanation:
HOPE THIS HELPS, GOOD-LCK, and Brainliest, also let me know if i am wrong.
What is the total cost of 1.9 cubic meters of soil if it sells for $40
Answer:
Step-by-step explanation:
Total cost = 1.9* 40 = 76.0 = $76
When unit rate is given,multiply.
The total cost of 1.9 cubic meters of soil is $76. This is calculated by multiplying the amount of soil bought (1.9 cubic meters) by the cost of one cubic meter of soil ($40).
Explanation:To calculate the total cost, we have to multiply the amount of soil bought (in cubic meter) by the cost of one cubic meter of soil. Here, the student is buying 1.9 cubic meters of soil and the cost of one cubic meter of soil is $40.
So, Total cost = amount of soil * cost of one cubic meter of soil
= 1.9 * 40
= $76
Therefore, the total cost of 1.9 cubic meter of soil is "$76."
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a/3 -7=15 im confused for my son
Answer: a = 22
Step-by-step explanation: First isolate a/3 by adding 7 to both sides of the equation. That gives you a/3 = 22.
From here since a is being divided by 3, multiply both sides of the equation by 3 so a = 66. We can check our answer by substituting a 66 back in for a in the original equation and we have [tex]\frac{66}{3} - 7 =15[/tex] or 22 - 7 = 15 or 15 = 15. Since this is a true statement, our answer checks.
Which expression is equivalent to –4.5 – 6.2y?
Answer:
-6.2y-4.5
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
How do I solve this?
Answer:
The equation of the required straight line is y = 4x + 1.
Step-by-step explanation:
The equation of all the straight lines that are parallel to the straight line y = 4x - 3 is given by
y = 4x + c .............. (1)
where, c is any real constant and c ≠ - 3.
{Since parallel straight lines have the same slope and different y-intercept }
Now, we have to find the value of c such that the parallel straight line passes through the point (-1,-3).
Now, putting x = - 1 and y = - 3 in equation (1) we get,
- 3 = 4(- 1) + c
⇒ c = 1
Therefore, the equation of the required straight line is y = 4x + 1. (Answer)
what is the answer for the question 20.x+90
Answer:
20.x + 90 = 110.x
412 Divided by four show your work
Answer:
103
Step-by-step explanation:
You start with long division 4 goes into 4 1 time and then 0 cause you have nothing else drop the 12 and then 4 goes into 12 3 times 103
Answer:
103
Step-by-step explanation:
If you solve it using partial quotients, it would be eaisier to demonstrate than using another method like standard division.
Hope this helps!
-Coconut;)
A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times. About how far had the horse traveled after walking around the track 5 times? Explain
The horse traveled 439.6 feet after walking around the track 5 times
Solution:
Given that, horse walks around a circular track while its trainer stands in the center
The trainer is 14 feet from the horse at all times
Therefore, radius of circular track = 14 feet
The circumference of circle is the distance traveled by horse for 1 lap
The circumference of circle is given as:
[tex]C = 2 \pi r[/tex]
Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14
[tex]C = 2 \times 3.14 \times 14\\\\C = 87.92[/tex]
Thus the distance traveled by horse for one time in circular track is 87.92 feet
About how far had the horse traveled after walking around the track 5 times?
Multiply the circumference by 5
[tex]distance = 5 \times 87.92\\\\distance = 439.6[/tex]
Thus the horse traveled 439.6 feet after walking around the track 5 times
a construction company is building a wall. the company can build 30 cm of the wall per minute. after 40 minutes 3/4 if the wall is completed. how many meters is the wall?
Answer:
This is a lengthy answer
Step-by-step explanation:
So contact me. Message me and I can explain to the fill extent
Final answer:
To find the total length of the wall, calculate the length built in 40 minutes (1200 cm) and divide by 3/4 to get the full length of 1600 cm, which is equivalent to 16 meters.
Explanation:
The question is asking us to determine the total length of the wall that a construction company is building, given that 3/4 of the wall is built in 40 minutes at a rate of 30 cm per minute. First, let's calculate the length of the wall built in 40 minutes:
Length built in 40 minutes = 40 minutes × 30 cm/minute = 1200 cmSince 1200 cm represents 3/4 of the wall, the full wall is:Full length = 1200 cm ÷ (3/4) = 1200 cm ÷ 0.75 = 1600 cmTo convert centimeters to meters: 1600 cm × (1 meter / 100 cm) = 16 metersThe total length of the wall is 16 meters.